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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 123, Pages 167–184
(Mi znsl4143)
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This article is cited in 3 scientific papers (total in 3 papers)
Examples of non-abelian discrete groups with non-trivial exit boundary
V. A. Kaimanovich
Abstract:
Hew types of counterexamples are given disproving some old conjectures on relations between exit (or, Poisson) boundary of a random walk on a group and its amenability and growth. Random walk with non-trivial exit boundaries on the affine group of the diadic-rational line and on the infinite symmetric group are constructed.
Citation:
V. A. Kaimanovich, “Examples of non-abelian discrete groups with non-trivial exit boundary”, Differential geometry, Lie groups and mechanics. Part V, Zap. Nauchn. Sem. LOMI, 123, "Nauka", Leningrad. Otdel., Leningrad, 1983, 167–184
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https://www.mathnet.ru/eng/znsl4143 https://www.mathnet.ru/eng/znsl/v123/p167
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Abstract page: | 253 | Full-text PDF : | 108 |
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